21301121129 has 2 divisors, whose sum is σ = 21301121130. Its totient is φ = 21301121128.

The previous prime is 21301121113. The next prime is 21301121131. The reversal of 21301121129 is 92112110312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20120855104 + 1180266025 = 141848^2 + 34355^2 .

It is a cyclic number.

It is not a de Polignac number, because 21301121129 - 2⁴ = 21301121113 is a prime.

It is a super-2 number, since 2×21301121129² (a number of 21 digits) contains 22 as substring.

Together with 21301121131, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (21301120129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10650560564 + 10650560565.

It is an arithmetic number, because the mean of its divisors is an integer number (10650560565).

Almost surely, 2^21301121129 is an apocalyptic number.

It is an amenable number.

21301121129 is a deficient number, since it is larger than the sum of its proper divisors (1).

21301121129 is an equidigital number, since it uses as much as digits as its factorization.

21301121129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 23.

The spelling of 21301121129 in words is "twenty-one billion, three hundred one million, one hundred twenty-one thousand, one hundred twenty-nine".